Optimal synthesis in the Reeds and Shepp problem with a free final direction

DOI10.1007/S10883-013-9180-9zbMath1273.49026OpenAlexW2077204904MaRDI QIDQ372886

I. A. Samylovskii, Andrei V. Dmitruk

Publication date: 21 October 2013

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-013-9180-9

zbMATH Keywords

Pontryagin's maximum principleoptimal synthesisreachability setsReeds-Shepp problem

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Attainable sets, reachability (93B03) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Optimal synthesis in the Reeds and Shepp problem with onesided variation of velocity

Cites Work

• Unnamed Item
• From Dubins' car to Reeds and Shepp's mobile robot
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• Dubins' Problem on Surfaces II: Nonpositive Curvature
• On the Optimality of Dubins Paths across Heterogeneous Terrain
• Shortest paths synthesis for a car-like robot
• High-order conditions for a minimum on a set of sequences in the abstract problem with inequality and equality constraints

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